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Among the following pairs of orbitals which orbital will experience the larger effective nuclearcharge? (i) 2s and 3s, (ii) 4d and 4f, (iii) 3d and 3p

Question

Among the following pairs of orbitals which orbital will experience the larger effective nuclearcharge? (i) 2s and 3s, (ii) 4d and 4f, (iii) 3d and 3p

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Solution

The effective nuclear charge is the net positive charge experienced by an electron in a multi-electron atom. The greater the effective nuclear charge, the more strongly an electron is attracted to the nucleus.

(i) Between 2s and 3s, the 2s electron will experience a larger effective nuclear charge. This is because the 2s electron is closer to the nucleus and thus experiences a stronger attraction.

(ii) Between 4d and 4f, the 4d electron will experience a larger effective nuclear charge. This is because the 4d electron is closer to the nucleus than the 4f electron.

(iii) Between 3d and 3p, the 3p electron will experience a larger effective nuclear charge. This is because the 3p electron is closer to the nucleus than the 3d electron.

In general, electrons in lower energy levels and in orbitals with lower angular momentum (s < p < d < f) will experience a larger effective nuclear charge.

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